Zlatanovska, Biljana and Dimovski, Donco (2022) Recurrent solutions of the Lorenz system of differential equations. Asian-European Journal of Mathematics, 15 (10). ISSN 1793-5571, (online) 1793-7183
Full text not available from this repository.Abstract
By introducing new variables in the systems of difference equations from the paper [B. Zlatanovska and D. Dimovski, Systems of difference equations approximating the Lorentz system of differential equations, Contrib. Sec. Math. Tech. Sci. 33 (2012) 75–96], new systems of difference equations are obtained. The solutions of these new systems of difference equations depend only on the initial values a0,b0,c0 and the coefficients ai,i∈N . The power series whose coefficients are these solutions present the recurrent solutions for the Lorenz system of differential equations. A comparison between the behavior of the Lorenz system of differential equations and the local behavior of its recurrent solutions for small time steps is examined in examples by computer simulations, as in the papers [B. Zlatanovska and D. Dimovski, Systems of difference equations approximating the Lorentz system of differential equations, Contrib. Sec. Math. Tech. Sci. 33 (2012) 75–96; B. Zlatanovska and D. Dimovski, Systems of difference equations as a model for the Lorentz system, in Proc. Fifth Int. Scientific Conf. FMNS - 2013, Vol. I (Blagoevgrad, Bulgaria, 2013), pp. 102–107 and B. Zlatanovska, Approximation for the solutions of Lorenz system with systems of differential equations, Bull. Math. 41(1) (2017) 51–61].
| Item Type: | Article |
|---|---|
| Subjects: | Natural sciences > Matematics |
| Divisions: | Faculty of Computer Science |
| Depositing User: | Biljana Zlatanovska |
| Date Deposited: | 28 Nov 2022 09:51 |
| Last Modified: | 28 Nov 2022 09:51 |
| URI: | https://eprints.ugd.edu.mk/id/eprint/30552 |
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